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Quark Mixing Model with Three Higgs Doublets and S3 Modular Symmetry at τ=i

  • Carlos Cerón
  • Myriam Mondragón
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Abstract

We study the quark sector of a model with three Higgs electroweak doublets, complemented with a modular S3 symmetry. We show that a proper assignment of the quark and Higgs fields in S3 and their modular weights allows to write a mass matrix with a phenomenologically viable texture. Moreover, by considering the conditions on the Higgs VEVs derived from the minimization of the scalar potential together with evaluation of the Yukawa couplings at the fixed point τ=i, leads to a significant reduction of the free parameters. We present two setups, one with three effective parameters, which is overly constrained, and one with four effective parameters, where the VCKM matrix can be fitted precisely.

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Cite

BibTeXRIS
BibTeX
@misc{ceron2026quark,
  title = {{Quark Mixing Model with Three Higgs Doublets and $S_3$ Modular Symmetry at $τ=i$}},
  author = {Carlos Cerón and Myriam Mondragón},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03204},
  eprint = {2609.03204},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03204},
}
RIS
TY  - UNPB
TI  - Quark Mixing Model with Three Higgs Doublets and S_3 Modular Symmetry at τ=i
AU  - Carlos Cerón
AU  - Myriam Mondragón
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.03204
UR  - https://arxiv.org/abs/2609.03204
AB  - We study the quark sector of a model with three Higgs electroweak doublets, complemented with a modular S_3 symmetry. We show that a proper assignment of the quark and Higgs fields in S_3 and their modular weights allows to write a mass matrix with a phenomenologically viable texture. Moreover, by considering the conditions on the Higgs VEVs derived from the minimization of the scalar potential together with evaluation of the Yukawa couplings at the fixed point τ=i, leads to a significant reduction of the free parameters. We present two setups, one with three effective parameters, which is overly constrained, and one with four effective parameters, where the V_CKM matrix can be fitted precisely.
ER  -